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Finding the Fourth Proportional to 8,171.28, 12,260.97 and 3,787.97

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Solution

The fourth proportional to 8,171.28, 12,260.97 and 3,787.97 is: 5,683.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.28 : 12,260.97 = 3,787.97 : x
  2. Step 2: Convert to fraction form
    8,171.28/12,260.97 = 3,787.97/x
  3. Step 3: Cross multiply
    8,171.28x = 12,260.97 × 3,787.97
  4. Step 4: Simplify right side
    8,171.28x = 46,444,125.23
  5. Step 5: Solve for x
    x = 46,444,125.23/8,171.28
  6. Step 6: Final answer
    x = 5,683.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.